3m 2m 0 arctan 3 4 13m s 4 cm A block is placed in a groove made in the turntable having frictionless wall at 4cm from the

Question

3m 2m 0 arctan 3 4 13m s 4 cm A block is placed in a groove made in the turntable having frictionless wall at 4cm from the centre of a turntable which is at rest The block fits tightly in the groove and is free to move in the groove The turntable is steadily accelerated at 2 5 rad s as shown in figure Coefficient of friction between the floor of groove and block is 0 1 The time in second at which the particle is about to slip is 7 6 When a 2 kg car driven at 20 m s on a level road is suddenly put into neutral gear i e allowed to coast the velocity decreases in the following manner The magnitude of the resistive force on a cruising plane is directly proportional to v where v is the planes velocity The power expended by the plane is P when the plane is cruising at velocity v The power 8 expended by the plane when the plane is cruising at velocity 2v is X The value of X P is When a 2 kg car driven at 20 m s on a level road is suddenly put into neutral gear i e allowed to coast the velocity decreases in V 1 A 20 F 60 t 20 where t is the time in sec The power in Watt required to drive this car at 10m s on the same road is The minimum value of F so that block is in equilibrium is xmg Value of x is m s 1 3 A 2mg C mg 2 B mg D block cannot be in equilibrium A box is sliding on smooth surface with constant speed A particle is projected inside box from point P with velocity rel 10m s with respect to box at an angle a 60 with the floor of box The particle lands at point Q in the box with respect to observer B If to an stationary observer A the horizontal displacement of particle is zero then the velocity of box V at the moment particle was projected is in m s rel a 60 B Velocity position graph of a particle is as shown in the figure The acceleration of the particle when its velocity is 6m s is in m s

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